triangle sqt is isosceles. the measure of angle stq is 48°. what is the measure of ∠str? 24° 38° 48° 76°

Explanation:

Step1: Recall isosceles - triangle property

In isosceles triangle $SQT$, if $\angle STQ = 48^{\circ}$, and since $SR = RQ$, then $TR$ is the angle - bisector of $\angle STQ$.

Step2: Calculate the measure of $\angle STR$

The measure of $\angle STR=\frac{1}{2}\angle STQ$. Given $\angle STQ = 48^{\circ}$, then $\angle STR=\frac{48^{\circ}}{2}=24^{\circ}$.

Answer:

$24^{\circ}$